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The numerator of a rational number is 7 less than the denominator. If the denominator is increased by 9 and the
numerator by 2, we get the same rational number. Find the number.
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Answer:
2/9.
Step-by-step explanation:
Let the rational number be =n/p
Again, p-7=n
or, p=n+7
So rational number=n/(n+7)
Now, new rational number =(n+2)/(n+16)
Again, n/n+7=n+2/n+16
n²+16n=n²+9n+14
or, 16n=9n+14
or, 7n=14
or, n=2
So, the number =2/9.
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